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In the figure below, lines AB and RS are parallel. Lines CA and TR are also parallel.

Two triangles ABC and RST, with its lines extended. 

Complete the sentence indicating how the triangles can be shown to be similar.

Since angle ABC is congruent to angle RST and angle BCA is congruent to

, the triangles are similar by
.

1 answer

Since angle ABC is congruent to angle RST and angle BCA is congruent to angle TSR, the triangles are similar by the Angle-Angle (AA) similarity criterion.